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Finding the Fourth Proportional to 272,529, 408,816.54 and 75,537

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Solution

The fourth proportional to 272,529, 408,816.54 and 75,537 is: 113,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,529 : 408,816.54 = 75,537 : x
  2. Step 2: Convert to fraction form
    272,529/408,816.54 = 75,537/x
  3. Step 3: Cross multiply
    272,529x = 408,816.54 × 75,537
  4. Step 4: Simplify right side
    272,529x = 30,880,774,981.98
  5. Step 5: Solve for x
    x = 30,880,774,981.98/272,529
  6. Step 6: Final answer
    x = 113,311.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.